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Finding the Third Proportional to 27,679 and 42,977

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Solution

The third proportional to 27,679 and 42,977 is: 66,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,679 : 42,977 = 42,977 : x
  2. Step 2: Convert to fraction form
    27,679/42,977 = 42,977/x
  3. Step 3: Cross multiply
    27,679x = 42,977 × 42,977
  4. Step 4: Simplify right side
    27,679x = 1,847,022,529
  5. Step 5: Solve for x
    x = 1,847,022,529/27,679
  6. Step 6: Final answer
    x = 66,730.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.